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Finding the Fourth Proportional to 11,876.83, 16,389.89 and 6,499.22

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Solution

The fourth proportional to 11,876.83, 16,389.89 and 6,499.22 is: 8,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.83 : 16,389.89 = 6,499.22 : x
  2. Step 2: Convert to fraction form
    11,876.83/16,389.89 = 6,499.22/x
  3. Step 3: Cross multiply
    11,876.83x = 16,389.89 × 6,499.22
  4. Step 4: Simplify right side
    11,876.83x = 106,521,500.89
  5. Step 5: Solve for x
    x = 106,521,500.89/11,876.83
  6. Step 6: Final answer
    x = 8,968.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.